Determine the y-coordinate of the centroid of the shaded area. 70 mm 55° 55° y 80 mm 65 mmi 55 mm 55 mm Answer: Y = i mm
Determine the y-coordinate of the centroid of the shaded area. 70 mm 55° 55° y 80 mm 65 mmi 55 mm 55 mm Answer: Y = i mm
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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![**Determine the y-coordinate of the centroid of the shaded area.**
The image depicts a geometric shape composed of a trapezoid with a semicircular cutout at the bottom. The shape is symmetric about the y-axis. The top section of the shape has two 55-degree angles on either side. The dimensions given are as follows:
- The height from the base of the trapezoid to the top is 70 mm.
- The height from the base of the semicircle to the base of the trapezoid is 80 mm.
- The horizontal lengths from the edge to the base of the semicircle are 55 mm on each side.
- The radius of the semicircle is 65 mm.
The objective is to calculate the y-coordinate of the centroid (\(\bar{y}\)) of the shaded area.
**Answer: \(\bar{Y} =\) [input box] mm**](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F71469e61-2ae3-431f-826d-cc2a14e0ebcf%2F83cef079-807c-450a-89a1-87e2a903cf75%2Fxs8e44f_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Determine the y-coordinate of the centroid of the shaded area.**
The image depicts a geometric shape composed of a trapezoid with a semicircular cutout at the bottom. The shape is symmetric about the y-axis. The top section of the shape has two 55-degree angles on either side. The dimensions given are as follows:
- The height from the base of the trapezoid to the top is 70 mm.
- The height from the base of the semicircle to the base of the trapezoid is 80 mm.
- The horizontal lengths from the edge to the base of the semicircle are 55 mm on each side.
- The radius of the semicircle is 65 mm.
The objective is to calculate the y-coordinate of the centroid (\(\bar{y}\)) of the shaded area.
**Answer: \(\bar{Y} =\) [input box] mm**
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